## The existence and asymptotic behaviour of solutions of certain class of the integro-differential equations.(English)Zbl 0728.45005

The paper generalizes the theorem on the existence and asymptotic behavior of solutions of a certain class of integro-differential equations - with respect to known qualitative methods of investigation available for ordinary differential equations - in a neighbourhood of the singular point $$[0^+,0]$$. Different theorems are proved, and an explicit example is discussed.
Reviewer: V.C.Boffi (Roma)

### MSC:

 45J05 Integro-ordinary differential equations

### Keywords:

existence; asymptotic behavior; singular point
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